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Georgia [21]
3 years ago
15

What is the area of the rhombus shown below? AC=17 BD=15 AB=11.2 Answers: A. 255 square units B. 190.4 square units C. 16 square

units D. 127.5 square units

Mathematics
1 answer:
Lena [83]3 years ago
4 0

Answer:

D. 127.5 square units

Step-by-step explanation:

AC=17

BD=15

AB=11.5

Diagonal (1&2) are given, base of the rhombus is also given.

Height is not given

Area of a rhombus given the diagonals

=1/2×d1×d2

Where,

d1=AC=17

d2=BD=15

Area of a rhombus=1/2×d1×d2

=1/2×17*15

=1/2×255

=127.5

D. 127.5 square units

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Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.
Sergeeva-Olga [200]

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

420* 12=

5040

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

<em>6% means 6 per cent/hundred, so it can be represented as:</em>

\frac{6}{100}

<em>The fraction </em>\frac{6}{100}<em> can be represented as (we're two places behind the decimal, in the hundredths place)</em>:

0.06

Now, multiply the decimal form of 6% by $5040:

0.06*5040=

302.40

Therefore, Mason's rent will increase by $302.40 next year.

-

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

302.40 ÷ 12=

25.20

Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:

420+25.20=

445.20

Therefore, Mason's new rent per month next year will be $445.20.

7 0
2 years ago
Justin spent half of his Christmas money on a pair of shoes to earn some money he worked at Bojangles and earn $32 if he ended t
Klio2033 [76]

Answer:

$148

Step-by-step explanation:

108×2=116 and 116+32=148.

5 0
3 years ago
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Afina-wow [57]

Answer:

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8 0
3 years ago
D-21.4=87.9 <br> Explain your answer
larisa [96]
<span>D-21.4=87.9 \ solve for D

add 21.4 to both sides
</span><span>D - 21.4 +21.4 =87.9 + 21.4

simplify
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7 0
3 years ago
Kim has worked in the tech industry for some time and would like to start consulting. In opening her new business, she will need
zimovet [89]
Cost of 3 laptops
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So Kim will need an additional 778.31 to start her business
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3 years ago
Read 2 more answers
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